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Finding the Fourth Proportional to 354,143.02, 488,710.92 and 192,999.46

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Solution

The fourth proportional to 354,143.02, 488,710.92 and 192,999.46 is: 266,335.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,143.02 : 488,710.92 = 192,999.46 : x
  2. Step 2: Convert to fraction form
    354,143.02/488,710.92 = 192,999.46/x
  3. Step 3: Cross multiply
    354,143.02x = 488,710.92 × 192,999.46
  4. Step 4: Simplify right side
    354,143.02x = 94,320,943,656.10
  5. Step 5: Solve for x
    x = 94,320,943,656.10/354,143.02
  6. Step 6: Final answer
    x = 266,335.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.